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Finding the Third Proportional to 295,944 and 641,687

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Solution

The third proportional to 295,944 and 641,687 is: 1,391,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 641,687 = 641,687 : x
  2. Step 2: Convert to fraction form
    295,944/641,687 = 641,687/x
  3. Step 3: Cross multiply
    295,944x = 641,687 × 641,687
  4. Step 4: Simplify right side
    295,944x = 411,762,205,969
  5. Step 5: Solve for x
    x = 411,762,205,969/295,944
  6. Step 6: Final answer
    x = 1,391,351.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.